Eur. Phys. J. Plus (2021) 136: 1029
https://doi.org/10.1140/epjp/s13360-021-02043-1

Regular Article

A class of polytropic stars in Einstein–Gauss–Bonnet gravity

¹ Institute for Systems Science, Durban University of Technology, 4000, Durban, South Africa
² Department of Mathematics, Faculty of Applied Sciences, Durban University of Technology, 4000, Durban, South Africa
³ Astrophysics and Cosmology Research Unit, University of KwaZulu Natal, Private Bag X54001, 4000, Durban, South Africa

^b megandhreng@dut.ac.za

Received: 2 September 2021
Accepted: 5 October 2021
Published online: 13 October 2021

Abstract

In this endeavour, we model spherically, symmetric compact stellar configurations obeying a polytropic equation of state of the form $p_r=\kappa {\rho }^2+\beta \rho -\gamma$ within the framework of Einstein–Gauss–Bonnet gravity. We employ the Finch and Skea ansatz to complete the gravitational behaviour of the stellar fluid. The solution is smoothly matched to the exterior Boulware–Deser metric. The effect of the EGB coupling constant is highlighted by studying the thermodynamical properties and stability of the stellar model.